504057120 has 288 divisors, whose sum is σ = 1913284800. Its totient is φ = 111089664.

The previous prime is 504057109. The next prime is 504057131. The reversal of 504057120 is 21750405.

It is an interprime number because it is at equal distance from previous prime (504057109) and next prime (504057131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681711 + ... + 682449.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2^504057120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956642400).

504057120 is an abundant number, since it is smaller than the sum of its proper divisors (1409227680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

504057120 is a wasteful number, since it uses less digits than its factorization.

504057120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 504057120 is about 22451.2164481126. The cubic root of 504057120 is about 795.8415044314.

The spelling of 504057120 in words is "five hundred four million, fifty-seven thousand, one hundred twenty".